What is the domain of h(x)= x / (x ^2 - x - 6)?

1 Answer
Alan P.
Sep 7, 2015

x in RR - {-2. 3}

Explanation:

h(x)=x/(x^2-x-6) is defined for all Real values of x
except those values for which x^2-x-6 = 0

x^2-x-6=(x+2)(x-3)

So if x=-2 or x=3
color(white)("XXXX")x^2-x-6 =0
and
color(white)("XXXX")h(x) is undefined

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